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Optimizing Control for a Piezo-Viscoelastic Contact Challenge Involving Normal Compliance and Coulomb’s Friction

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Abstract

The objective of this paper is to investigate an optimal control problem related to a frictional contact problem involving a piezo-viscoelastic body and an electrically conductive foundation. The contact procedure is characterized by a compliance normal condition combined with a version of Coulomb’s friction law. A variational formulation of the model is developed, resulting in a coupled system for the displacement files and electric potentials. We establish the existence and uniqueness results for a weak solution under the assumption of a smallness condition. Finally, we establish the existence of optimal solutions for two classes of optimal control problems and inverse problems which are described by the piezo-viscoelastic contact problem under consideration

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  1. Modeling and Combinatorics Laboratory, Department of Mathematics and Computer Science, Polydisciplinary Faculty, Cadi Ayyad University, B.P. 4162, Safi, Morocco

    Mustapha Bouallala

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Bouallala, M. Optimizing Control for a Piezo-Viscoelastic Contact Challenge Involving Normal Compliance and Coulomb’s Friction. Differ Equ Dyn Syst (2024). https://doi.org/10.1007/s12591-024-00694-x

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